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• W1979184426 startingPage "1445" @default.
• W1979184426 abstract "We discuss three examples in which one may extend integrable Euler–Poincaré ordinary differential equations to integrable Euler–Poincaré partial differential equations in the matrix G-Strand context. After describing matrix G-Strand examples for SO(3) and SO(4) we turn our attention to SE(3) where the matrix G-Strand equations recover the exact rod theory in the convective representation. We then find a zero curvature representation of these equations and establish the conditions under which they are completely integrable. Thus, the G-Strand equations turn out to be a rich source of integrable systems. The treatment is meant to be expository and most concepts are explained in examples in the language of vectors in ." @default.
• W1979184426 created "2016-06-24" @default.
• W1979184426 creator A5059930044 @default.
• W1979184426 creator A5062110037 @default.
• W1979184426 date "2014-05-20" @default.
• W1979184426 modified "2023-09-27" @default.
• W1979184426 title "Matrix G-strands" @default.
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• W1979184426 doi "https://doi.org/10.1088/0951-7715/27/6/1445" @default.
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